Step-by-step explanation:
Hypotenuse = sqrt[(7)² + (11)²] = sqrt170 = 13m.
Answer:grater than
Step-by-step explanation:
mark brainliest please
Answer: E. 40
Step-by-step explanation:
<u>Concept: </u>
- When you encounter questions that state "what percent of [a] is [b]" then it means asking for a fraction of b to a, which is "(b/a)×100%".
- If you are still confused, I would provide some examples
- What percent of 20 is 5: (5/20)×100% = 25%
- What percent of 10 is 2: (2/10)×100% = 20%
---------------------------------------------------------------------------
<u>Solve:</u>
(16/40)×100% = 0.4 × 100% = 40%
Hope this helps!! :)
Please let me know if you have any questions
What that even supposed to mean
Answer:
M₀ (t) = p / e^-t -q = p (e^-t -q) ^ -1
Step-by-step explanation:
Let the random variable Y have a geometric distribution g (y;p) = pq y-¹
The m.g.f of the geometric distribution is derived as below
By definition , M₀ (t) = E (e^ ty) = ∑ (e^ ty )( q ^ y-1)p ( for ∑ , y varies 1 to infinity)
= pe^t ∑(e^tq)^y-1
= pe^t/1- qe^t, where qe^t <1
In order to differentiate the m.g.f we write it as
M₀ (t) = p / e^-t -q = p (e^-t -q) ^ -1
M₀` (t) = pe^-t (e^-t -q) ^ -2 and
M₀^n(t) = 2pe^-2t (e^-t -q) ^ -3 - pe^-t (e^-t -q) ^ -2
Hence
E (y) = p (1-q)-² = 1/p
E (y²) =2 p (1-q)-³ - p (1-q)-²
= 2/p² - 1/p and
σ² = [E (y²) -E (y)]²
= 2/p² - 1/p - (1/p)²
= q/p²
